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¿cómo vas a descomponer esta expresión en fracciones?:
x^3*y^12/(x*y^4)^3
2*(-1+(-1+x)/(2+x))/(2+x)^2
(y^2-16)/(4*y^2-y^3)
a/(a+b)+a^2/(b^2-a^2)
Factorizar el polinomio:
y^4+y^2
y^5+y+1
-y^3+y^2-1
y^3-x*y^2+y-x
Descomponer al cuadrado:
y^4-9*y^2-10
y^4+9*y^2-5
-y^4-9*y^2+15
-y^4-8*y^2+9
Expresiones idénticas
atan(sin(x)/(dos *(uno +cos(x))))/ dos
arco tangente de gente de ( seno de (x) dividir por (2 multiplicar por (1 más coseno de (x)))) dividir por 2
arco tangente de gente de ( seno de (x) dividir por (dos multiplicar por (uno más coseno de (x)))) dividir por dos
atan(sin(x)/(2(1+cos(x))))/2
atansinx/21+cosx/2
atan(sin(x) dividir por (2*(1+cos(x)))) dividir por 2
Expresiones semejantes
atan(sin(x)/(2*(1-cos(x))))/2
arctan(sin(x)/(2*(1+cos(x))))/2
atan(sinx/(2*(1+cosx)))/2
Expresiones con funciones
Arcotangente arctan
atan(x/10)/5-x/(100+x^2)
atan(2*x+7)*2+4*x/(1+(2*x+7)^2)-(28+8*x)/(2*(1+(2*x+7)^4))
atan(3*x)^(sqrt(x))*(log(atan(3*x))/(2*sqrt(x))+3*sqrt(x)/((1+9*x^2)*atan(3*x)))
atan((2*sin(2*x))/(sqrt(6)*(1+cos(2*x))))/(2*sqrt(6))
atan(((2*sin(2*x))/(1+cos(2*x))+1)/sqrt(3))/sqrt(3)
Seno sin
sin(3*pi/2+a)/(3*cos(pi-a))еслиa=2*pi/3
sin(6*pi*x)/(12*pi)+sin(8*pi*x)/(16*pi)
sin^2/(cos-1)
sin((\pi)/(2)+a)+cos(\pi+a)+ctg(2\pi-a)+tg((3\pi)/(2)-a)
sin(a)*cos(a)/(sin(a^2)-cos(a^2))
Coseno cos
cos(x)/(1+cos(x))+sin(x)^2/(1+cos(x))^2
cos(2*x)/(1-sin(2*x))-(1+tan(x))/(1-tan(x))
cos(2*a)/((cos(a)*cos(a)))
cos(a+b)/((cos(a)*sin(b)))
cos(x)/(x+1)^3-3*sin(x)/(x+1)^4

Simplificación de expresiones/ Descomposición en fracciones simples/ atan(sin(x)/(2*(1+cos(x))))/2

¿Cómo vas a descomponer esta atan(sin(x)/(2*(1+cos(x))))/2 expresión en fracciones?

Solución

Ha introducido [src]

    /    sin(x)    \
atan|--------------|
    \2*(1 + cos(x))/
--------------------
         2

$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{2 \left(\cos{\left(x \right)} + 1\right)} \right)}}{2}$$

atan(sin(x)/((2*(1 + cos(x)))))/2

Descomposición de una fracción [src]

atan(sin(x)/(2 + 2*cos(x)))/2

$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{2 \cos{\left(x \right)} + 2} \right)}}{2}$$

    /   sin(x)   \
atan|------------|
    \2 + 2*cos(x)/
------------------
        2

Potencias [src]

    /   sin(x)   \
atan|------------|
    \2 + 2*cos(x)/
------------------
        2

$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{2 \cos{\left(x \right)} + 2} \right)}}{2}$$

     /   /   -I*x    I*x\ \ 
     | I*\- e     + e   / | 
-atan|--------------------| 
     |  /     I*x    -I*x\| 
     \2*\2 + e    + e    // 
----------------------------
             2

$$- \frac{\operatorname{atan}{\left(\frac{i \left(e^{i x} - e^{- i x}\right)}{2 \left(e^{i x} + 2 + e^{- i x}\right)} \right)}}{2}$$

-atan(i*(-exp(-i*x) + exp(i*x))/(2*(2 + exp(i*x) + exp(-i*x))))/2

Combinatoria [src]

    /   sin(x)   \
atan|------------|
    \2 + 2*cos(x)/
------------------
        2

$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{2 \cos{\left(x \right)} + 2} \right)}}{2}$$

atan(sin(x)/(2 + 2*cos(x)))/2

Unión de expresiones racionales [src]

    /   sin(x)   \
atan|------------|
    \2 + 2*cos(x)/
------------------
        2

$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{2 \cos{\left(x \right)} + 2} \right)}}{2}$$

atan(sin(x)/(2 + 2*cos(x)))/2

Abrimos la expresión [src]

    /   sin(x)   \
atan|------------|
    \2 + 2*cos(x)/
------------------
        2

$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{2 \cos{\left(x \right)} + 2} \right)}}{2}$$

atan(sin(x)/(2 + 2*cos(x)))/2

Respuesta numérica [src]

0.5*atan(sin(x)/((2*(1 + cos(x)))))

0.5*atan(sin(x)/((2*(1 + cos(x)))))

Parte trigonométrica [src]

    /                /x\            \
    |             tan|-|            |
    |                \2/            |
atan|-------------------------------|
    |              /           2/x\\|
    |              |    1 - tan |-|||
    |/       2/x\\ |            \2/||
    ||1 + tan |-||*|1 + -----------||
    |\        \2// |           2/x\||
    |              |    1 + tan |-|||
    \              \            \2///
-------------------------------------
                  2

$$\frac{\operatorname{atan}{\left(\frac{\tan{\left(\frac{x}{2} \right)}}{\left(\frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + 1\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)} \right)}}{2}$$

    /                   /x\              \
    |              2*cot|-|              |
    |                   \2/              |
atan|------------------------------------|
    |              /      /        2/x\\\|
    |              |    2*|-1 + cot |-||||
    |/       2/x\\ |      \         \2//||
    ||1 + cot |-||*|2 + ----------------||
    |\        \2// |             2/x\   ||
    |              |      1 + cot |-|   ||
    \              \              \2/   //
------------------------------------------
                    2

$$\frac{\operatorname{atan}{\left(\frac{2 \cot{\left(\frac{x}{2} \right)}}{\left(\frac{2 \left(\cot^{2}{\left(\frac{x}{2} \right)} - 1\right)}{\cot^{2}{\left(\frac{x}{2} \right)} + 1} + 2\right) \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)} \right)}}{2}$$

    /           1            \
atan|------------------------|
    |/      2   \    /    pi\|
    ||2 + ------|*sec|x - --||
    \\    sec(x)/    \    2 //
------------------------------
              2

$$\frac{\operatorname{atan}{\left(\frac{1}{\left(2 + \frac{2}{\sec{\left(x \right)}}\right) \sec{\left(x - \frac{\pi}{2} \right)}} \right)}}{2}$$

    /                /x\             \
    |             cot|-|             |
    |                \2/             |
atan|--------------------------------|
    |              /            2/x\\|
    |              |    -1 + cot |-|||
    |/       2/x\\ |             \2/||
    ||1 + cot |-||*|1 + ------------||
    |\        \2// |           2/x\ ||
    |              |    1 + cot |-| ||
    \              \            \2/ //
--------------------------------------
                  2

$$\frac{\operatorname{atan}{\left(\frac{\cot{\left(\frac{x}{2} \right)}}{\left(\frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1} + 1\right) \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)} \right)}}{2}$$

    /   /    pi\ \
    |cos|x - --| |
    |   \    2 / |
atan|------------|
    \2 + 2*cos(x)/
------------------
        2

$$\frac{\operatorname{atan}{\left(\frac{\cos{\left(x - \frac{\pi}{2} \right)}}{2 \cos{\left(x \right)} + 2} \right)}}{2}$$

    /   sin(x)   \
atan|------------|
    \2 + 2*cos(x)/
------------------
        2

$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{2 \cos{\left(x \right)} + 2} \right)}}{2}$$

    /            1             \
atan|--------------------------|
    |  /      1   \    /    pi\|
    |2*|1 + ------|*sec|x - --||
    \  \    sec(x)/    \    2 //
--------------------------------
               2

$$\frac{\operatorname{atan}{\left(\frac{1}{2 \left(1 + \frac{1}{\sec{\left(x \right)}}\right) \sec{\left(x - \frac{\pi}{2} \right)}} \right)}}{2}$$

    /       sin(x)      \
atan|-------------------|
    |  /       /    pi\\|
    |2*|1 + sin|x + --|||
    \  \       \    2 ///
-------------------------
            2

$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{2 \left(\sin{\left(x + \frac{\pi}{2} \right)} + 1\right)} \right)}}{2}$$

    /      sin(x)     \
atan|-----------------|
    |         /    pi\|
    |2 + 2*sin|x + --||
    \         \    2 //
-----------------------
           2

$$\frac{\operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{2 \sin{\left(x + \frac{\pi}{2} \right)} + 2} \right)}}{2}$$

    /                   /x\             \
    |              2*tan|-|             |
    |                   \2/             |
atan|-----------------------------------|
    |              /      /       2/x\\\|
    |              |    2*|1 - tan |-||||
    |/       2/x\\ |      \        \2//||
    ||1 + tan |-||*|2 + ---------------||
    |\        \2// |             2/x\  ||
    |              |      1 + tan |-|  ||
    \              \              \2/  //
-----------------------------------------
                    2

$$\frac{\operatorname{atan}{\left(\frac{2 \tan{\left(\frac{x}{2} \right)}}{\left(\frac{2 \left(1 - \tan^{2}{\left(\frac{x}{2} \right)}\right)}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + 2\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)} \right)}}{2}$$

    /    /    pi\  \
    | cos|x - --|  |
    |    \    2 /  |
atan|--------------|
    \2*(1 + cos(x))/
--------------------
         2

$$\frac{\operatorname{atan}{\left(\frac{\cos{\left(x - \frac{\pi}{2} \right)}}{2 \left(\cos{\left(x \right)} + 1\right)} \right)}}{2}$$

    /           1            \
atan|------------------------|
    |/         2     \       |
    ||2 + -----------|*csc(x)|
    ||       /pi    \|       |
    ||    csc|-- - x||       |
    \\       \2     //       /
------------------------------
              2

$$\frac{\operatorname{atan}{\left(\frac{1}{\left(2 + \frac{2}{\csc{\left(- x + \frac{\pi}{2} \right)}}\right) \csc{\left(x \right)}} \right)}}{2}$$

    /            1             \
atan|--------------------------|
    |  /         1     \       |
    |2*|1 + -----------|*csc(x)|
    |  |       /pi    \|       |
    |  |    csc|-- - x||       |
    \  \       \2     //       /
--------------------------------
               2

$$\frac{\operatorname{atan}{\left(\frac{1}{2 \left(1 + \frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}}\right) \csc{\left(x \right)}} \right)}}{2}$$

    /         1         \
atan|-------------------|
    |/      2   \       |
    ||2 + ------|*csc(x)|
    \\    sec(x)/       /
-------------------------
            2

$$\frac{\operatorname{atan}{\left(\frac{1}{\left(2 + \frac{2}{\sec{\left(x \right)}}\right) \csc{\left(x \right)}} \right)}}{2}$$

atan(1/((2 + 2/sec(x))*csc(x)))/2

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta atan(sin(x)/(2*(1+cos(x))))/2 expresión en fracciones?

Solución